How many distinct triangles can be drawn using three of the dots below as vertices?
1 answer:
Answer:
18
Step-by-step explanation:
There are 6 dots. The number of ways we can select 3 from 6 is:
₆C₃ = 6! / (3! (6−3)!)
₆C₃ = 6! / (3! 3!)
₆C₃ = 6×5×4 / (3×2×1)
₆C₃ = 20
However, 2 of these combinations are lines, not triangles.
So there are 18 possible distinct triangles.
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